| Radix Character Encoding | |||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | A | B | C | D | E | F |
| G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V |
| W | X | Y | Z | a | b | c | d | e | f | g | h | i | j | k | l |
| m | n | o | p | q | r | s | t | u | v | w | x | y | z | Α | Β |
| Color Key | ||
|---|---|---|
| Orange | Fixed Point | number that becomes itself after one iteration |
| Green | Final Numbers | all numbers eventually reached, from all cycles |
| Purple | Cycle Start | iterations include entry into cycle, assuming it repeats |
| Red | Full Cycle | iterations include entire cycle, proving it repeats |
| Blue | Start Numbers | subset (optimization) of all numbers; minimal for full coverage |
| Gray | No Results | any calculation that has no results |
| Digits | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
|---|---|---|---|---|---|---|---|---|---|
| Average Steps Cycle Start | 0.98 step avg | 1.46 step avg | 11.00 step avg | 3.03 step avg | 11.05 step avg | 43.07 step avg | 15.73 step avg | 93.07 step avg | 16.82 step avg |
| Step Frequency Cycle Start | 0s: 1s: 1× 49× | 0s: 1s: 2s: 14× 661× 600× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 20s: 21s: 22s: 23s: 24s: 25s: 26s: 1× 699× 648× 1,294× 1,286× 1,274× 1,258× 1,238× 1,214× 1,186× 1,154× 1,118× 1,078× 1,034× 986× 934× 878× 818× 754× 686× 614× 538× 458× 374× 286× 194× 98× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 1× 17,209× 44,484× 178,200× 25,619× 21,973× 3,033× 2,306× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 20s: 21s: 22s: 23s: 1× 22,687× 28,928× 33,680× 77,296× 104,690× 166,780× 202,326× 252,258× 259,446× 343,726× 269,648× 287,758× 241,094× 215,708× 188,686× 141,154× 111,244× 72,244× 56,162× 41,534× 28,518× 15,648× 1,294× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 20s: 21s: 22s: 23s: 24s: 25s: 26s: 27s: 28s: 29s: 30s: 31s: 32s: 33s: 34s: 35s: 36s: 37s: 38s: 39s: 40s: 41s: 42s: 43s: 44s: 45s: 46s: 47s: 48s: 49s: 50s: 51s: 52s: 53s: 54s: 55s: 56s: 57s: 58s: 59s: 60s: 61s: 62s: 63s: 64s: 65s: 66s: 67s: 68s: 69s: 70s: 71s: 72s: 73s: 74s: 75s: 76s: 77s: 78s: 79s: 80s: 81s: 82s: 83s: 84s: 85s: 86s: 87s: 88s: 89s: 90s: 91s: 92s: 93s: 94s: 95s: 96s: 97s: 98s: 99s: 100s: 101s: 102s: 103s: 104s: 105s: 106s: 107s: 108s: 109s: 110s: 111s: 112s: 113s: 114s: 115s: 116s: 117s: 118s: 119s: 1× 164,512× 419,223× 331,827× 321,357× 484,684× 534,496× 442,227× 425,178× 420,775× 458,591× 550,724× 579,126× 591,315× 595,918× 565,086× 532,230× 578,734× 570,860× 542,359× 532,773× 513,643× 528,831× 526,923× 472,205× 502,549× 411,761× 350,915× 380,832× 330,432× 323,928× 189,724× 249,329× 177,908× 192,419× 181,063× 146,641× 201,374× 212,680× 267,020× 223,181× 172,355× 203,383× 242,837× 204,150× 206,179× 180,085× 202,683× 192,035× 132,156× 113,329× 108,293× 122,261× 107,781× 173,656× 185,202× 196,248× 173,764× 189,509× 242,646× 237,134× 239,136× 231,291× 236,612× 198,944× 221,617× 193,073× 164,133× 185,001× 196,420× 258,672× 253,900× 246,093× 211,157× 206,599× 183,440× 247,659× 198,364× 247,679× 192,538× 215,258× 274,789× 219,924× 239,562× 305,546× 238,117× 258,400× 320,553× 302,106× 193,647× 176,856× 207,057× 153,052× 167,502× 178,797× 160,854× 98,259× 98,670× 107,508× 84,680× 87,514× 107,705× 96,219× 75,419× 84,685× 47,876× 58,411× 59,603× 89,145× 80,241× 130,850× 83,590× 81,109× 59,051× 40,277× 26,680× 22,630× 14,051× 8,154× 11,960× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 20s: 21s: 22s: 23s: 24s: 25s: 26s: 27s: 28s: 1× 120,559× 322,714× 713,038× 939,988× 1,338,738× 2,089,288× 3,154,228× 4,897,644× 7,077,386× 8,721,462× 10,606,880× 11,773,498× 14,295,026× 16,676,826× 19,558,430× 21,309,680× 23,802,224× 21,548,856× 19,630,026× 15,570,212× 11,103,902× 6,223,870× 4,304,386× 2,970,620× 1,724,340× 844,744× 585,834× 13,000× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 20s: 21s: 22s: 23s: 24s: 25s: 26s: 27s: 28s: 29s: 30s: 31s: 32s: 33s: 34s: 35s: 36s: 37s: 38s: 39s: 40s: 41s: 42s: 43s: 44s: 45s: 46s: 47s: 48s: 49s: 50s: 51s: 52s: 53s: 54s: 55s: 56s: 57s: 58s: 59s: 60s: 61s: 62s: 63s: 64s: 65s: 66s: 67s: 68s: 69s: 70s: 71s: 72s: 73s: 74s: 75s: 76s: 77s: 78s: 79s: 80s: 81s: 82s: 83s: 84s: 85s: 86s: 87s: 88s: 89s: 90s: 91s: 92s: 93s: 94s: 95s: 96s: 97s: 98s: 99s: 100s: 101s: 102s: 103s: 104s: 105s: 106s: 107s: 108s: 109s: 110s: 111s: 112s: 113s: 114s: 115s: 116s: 117s: 118s: 119s: 120s: 121s: 122s: 123s: 124s: 125s: 126s: 127s: 128s: 129s: 130s: 131s: 132s: 133s: 134s: 135s: 136s: 137s: 138s: 139s: 140s: 141s: 142s: 143s: 144s: 145s: 146s: 147s: 148s: 149s: 150s: 151s: 152s: 153s: 154s: 155s: 156s: 157s: 158s: 159s: 160s: 161s: 162s: 163s: 164s: 165s: 166s: 167s: 168s: 169s: 170s: 171s: 172s: 173s: 174s: 175s: 176s: 177s: 178s: 179s: 180s: 181s: 182s: 183s: 184s: 185s: 186s: 187s: 188s: 189s: 190s: 191s: 192s: 193s: 194s: 195s: 196s: 197s: 198s: 199s: 200s: 201s: 202s: 203s: 204s: 205s: 206s: 207s: 208s: 209s: 210s: 211s: 212s: 213s: 214s: 215s: 216s: 217s: 218s: 219s: 220s: 221s: 222s: 223s: 224s: 225s: 226s: 227s: 228s: 229s: 230s: 231s: 232s: 233s: 234s: 235s: 236s: 237s: 238s: 239s: 240s: 241s: 242s: 243s: 244s: 245s: 246s: 247s: 248s: 249s: 250s: 251s: 252s: 253s: 254s: 255s: 256s: 257s: 258s: 259s: 260s: 261s: 262s: 1× 2,449,788× 12,316,168× 12,450,647× 13,183,926× 13,518,003× 12,394,919× 11,323,995× 11,383,362× 12,424,216× 13,251,993× 13,983,314× 13,531,494× 12,614,353× 11,009,407× 12,842,477× 10,735,022× 10,832,012× 10,716,655× 11,680,321× 11,797,199× 10,981,102× 10,477,964× 10,699,809× 11,895,776× 11,193,108× 10,775,258× 10,924,452× 11,590,943× 10,148,541× 9,770,259× 10,985,491× 12,084,342× 12,946,124× 11,777,594× 11,048,012× 10,046,398× 9,882,046× 10,492,044× 10,523,324× 10,119,958× 9,651,195× 9,386,683× 8,662,022× 8,508,468× 9,413,087× 9,715,547× 10,076,178× 9,046,192× 8,721,653× 8,801,447× 9,784,830× 9,800,887× 9,541,719× 9,205,316× 9,333,702× 9,894,692× 11,403,894× 10,172,613× 8,937,189× 8,907,172× 9,155,877× 9,104,430× 8,960,065× 9,214,801× 9,776,492× 10,381,636× 9,733,517× 9,723,042× 10,071,794× 9,037,827× 9,190,177× 9,704,508× 10,562,694× 9,425,415× 8,769,861× 7,602,334× 8,084,656× 8,292,925× 9,558,152× 11,795,017× 10,303,907× 9,746,973× 9,869,871× 8,575,282× 8,429,437× 9,667,003× 10,782,811× 9,582,214× 9,134,054× 9,705,703× 9,794,952× 9,066,134× 9,648,879× 8,958,284× 8,370,819× 6,960,593× 7,035,496× 7,356,985× 8,064,398× 7,486,025× 7,851,077× 8,068,390× 8,018,437× 7,519,418× 7,235,997× 6,864,248× 6,362,753× 7,274,826× 7,350,426× 7,036,483× 6,149,411× 6,135,737× 6,233,563× 6,786,675× 6,321,337× 6,230,002× 6,172,984× 4,975,762× 4,641,506× 4,115,706× 4,434,838× 4,253,616× 3,955,380× 4,397,093× 5,164,623× 5,913,275× 4,848,080× 3,921,221× 4,396,035× 4,703,779× 4,874,597× 4,972,508× 4,209,810× 4,571,271× 4,689,165× 4,512,283× 4,293,447× 3,860,838× 3,240,008× 3,487,819× 3,935,811× 3,676,103× 3,225,019× 3,228,290× 4,084,751× 3,018,610× 2,916,829× 3,090,048× 3,809,769× 3,804,105× 3,275,469× 3,385,829× 3,915,152× 3,995,335× 3,624,117× 3,518,943× 3,302,317× 3,766,951× 3,638,393× 3,851,315× 5,346,542× 6,762,322× 7,238,356× 7,353,083× 7,054,982× 5,602,551× 4,710,828× 3,741,246× 3,752,547× 4,317,074× 4,763,407× 4,661,544× 3,642,778× 3,814,231× 4,435,842× 4,092,876× 4,505,830× 4,301,208× 4,494,070× 3,961,808× 3,926,429× 4,654,046× 4,513,792× 4,693,617× 4,774,998× 5,865,772× 7,121,243× 7,635,339× 7,781,152× 7,091,025× 5,832,220× 5,641,315× 7,119,838× 6,828,661× 6,634,656× 6,100,772× 5,808,390× 5,180,224× 4,942,900× 4,066,705× 4,565,343× 5,392,664× 5,326,435× 4,749,315× 4,686,231× 4,591,603× 3,770,782× 3,121,781× 3,593,669× 4,243,712× 4,278,010× 4,775,119× 3,732,131× 3,752,079× 4,040,595× 3,874,404× 4,374,507× 3,867,942× 3,780,160× 2,658,866× 2,839,429× 3,172,972× 3,129,143× 3,643,597× 4,034,763× 4,278,812× 3,034,917× 2,785,773× 2,285,277× 1,842,259× 1,320,209× 1,454,702× 1,791,171× 2,267,141× 1,582,715× 1,268,814× 1,054,882× 697,107× 571,967× 617,970× 503,001× 564,660× 607,607× 663,192× 677,305× 780,439× 692,575× 696,015× 554,492× 581,126× 588,058× 504,431× 299,330× 429,645× 130,496× 84,746× 175,278× 546,132× 648,307× 812,139× 592,862× 105,529× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 20s: 21s: 22s: 23s: 24s: 25s: 26s: 27s: 28s: 29s: 30s: 31s: 32s: 33s: 34s: 35s: 36s: 37s: 38s: 39s: 40s: 41s: 42s: 43s: 44s: 45s: 46s: 47s: 48s: 1× 4,043,857× 21,105,186× 51,899,488× 105,468,530× 182,784,790× 244,783,604× 364,011,440× 413,407,834× 476,555,964× 502,581,300× 512,897,472× 568,776,942× 598,841,614× 681,652,554× 672,974,636× 639,322,832× 535,099,858× 479,804,318× 369,732,488× 321,464,668× 303,961,034× 299,003,826× 247,609,446× 217,884,706× 202,632,928× 188,607,660× 160,590,438× 138,410,532× 168,131,418× 179,051,250× 158,800,660× 128,482,204× 115,524,290× 92,136,398× 68,331,832× 65,575,674× 41,857,298× 35,573,674× 25,085,832× 18,636,204× 7,242,358× 6,320,786× 6,106,006× 9,783,550× 12,440,702× 3,485,736× 377,412× 20,720× |